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Introduction to non-linear fenomena and solitons

Grant number: 10/15610-0
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2010
Effective date (End): October 31, 2011
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Luiz Agostinho Ferreira
Grantee:Vinicius Henrique Aurichio
Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:09/16982-1 - Solitons, infinite symmetries and integrable field theories, AP.TEM

Abstract

The main objective of the project is to introduce the student to the basic concepts of non-linear phenomena and the algebraic and geometrical techniques used in such area of research. We shall start with the Fermi-Pasta-Ulam problem and the developments that followed from it. Then we shall study the methods of integrable field theories and solitons like the Lax-Zakharov-Shabat equation. At the same time the student will be studying representation theory of Lie groups and Lie algebras.

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